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Complete monotonicity of a difference constituted by four derivatives of a function involving trigamma function
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Submitted:
10 November 2020
Posted:
12 November 2020
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Abstract
In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein's theorem for completely monotonic functions, and other techniques, the author finds necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic.
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Subject: Computer Science and Mathematics - Algebra and Number Theory
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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